document.write( "Question 742157: How do you find the solutions for: sin^2(x)=sin(x)+2 \n" ); document.write( "

Algebra.Com's Answer #452284 by Alan3354(69443) $\"\"$ $\"About$

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How do you find the solutions for: sin^2(x)=sin(x)+2
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\n" ); document.write( "sin^2(x) - sin(x) - 2 = 0
\n" ); document.write( "sub for sin(x)
\n" ); document.write( "u^2 - u - 2 = 0
\n" ); document.write( "(u - 2)*(u + 1) = 0
\n" ); document.write( "u = 2 --> sin(x) = 2 (no real number solution)
\n" ); document.write( "u = -1 --> sin(x) = -1
\n" ); document.write( "x = pi + 2n*pi, n = 0, 1, 2, 3... \n" ); document.write( "

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